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Finding the Third Proportional to 21,929 and 32,074

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Solution

The third proportional to 21,929 and 32,074 is: 46,912.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,929 : 32,074 = 32,074 : x
  2. Step 2: Convert to fraction form
    21,929/32,074 = 32,074/x
  3. Step 3: Cross multiply
    21,929x = 32,074 × 32,074
  4. Step 4: Simplify right side
    21,929x = 1,028,741,476
  5. Step 5: Solve for x
    x = 1,028,741,476/21,929
  6. Step 6: Final answer
    x = 46,912.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.